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(a) The probability is. (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.)

(a) The probability is. (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The lengths of lumber a machine cuts are normally distributed with a mean of 89 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 89.14 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 89.14 inches? (a) The probability is. (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.)
Transcribed Image Text:The lengths of lumber a machine cuts are normally distributed with a mean of 89 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 89.14 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 89.14 inches? (a) The probability is. (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.)
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